λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,314,424

2,314,424

23 × 7 × 37 × 1117
Abundant Even Composite

2,314,424 factors as 2^3 × 7 × 37 × 1117. Its 32 positive divisors give a proper-divisor sum of 2,783,656, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 37 × 1117
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,098,080
Proper Divisor Sum 2,783,656
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2314391 ← → #2314439

Radix Representation

Decimal 2314424
Binary 1000110101000010111000 (22 bits)
Octal 0o10650270
Hexadecimal 0x2350B8

Divisor Catalog (32)

1 2 4 7 8 14 28 37 56 74 148 259 296 518 1,036 1,117 2,072 2,234 4,468 7,819 8,936 15,638 31,276 41,329 62,552 82,658 165,316 289,303 330,632 578,606 1,157,212 2,314,424

Collatz Trajectory (130 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,314,424 1,157,212 578,606 289,303 867,910 433,955 1,301,866 650,933 1,952,800 976,400 488,200 244,100 122,050 61,025 183,076 91,538 45,769 137,308 68,654 34,327 102,982 51,491 154,474 77,237 231,712 115,856 57,928 28,964 14,482 7,241 21,724 10,862 5,431 16,294 8,147 24,442 12,221 36,664 18,332 9,166 4,583 13,750 6,875 20,626 10,313 30,940 15,470 7,735 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687

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